colapop requires, an average, 2,700 tons of aluminum each week, with a standard deviation of 700 tons. The lead time to receive its orders is 8 weeks. The holding cost for one ton of aluminum for one week is $9. It operates with a 0.99 in-stock probability on average how many tons does it have on hand? if its average inventory was 9000 tons, what would be its average holding cost per week? Suppose its on-hand is 5375 tons, on average, what in stock probability does it offer to customers?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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colapop requires, an average, 2,700 tons of aluminum each week, with a standard deviation of 700 tons. The lead time to receive its orders is 8 weeks. The holding cost for one ton of aluminum for one week is $9. It operates with a 0.99 in-stock probability

on average how many tons does it have on hand?

if its average inventory was 9000 tons, what would be its average holding cost per week?

Suppose its on-hand is 5375 tons, on average, what in stock probability does it offer to customers?

TABLE 11.5 In-Stock Probabilities and Matching Safety Factors, z
In-Stock Probability Safety Factor, z Safety Factor, z In-Stock Probability
0.9000
1.28
1.25
0.8944
0.9800
2.05
2.00
0.9773
0.9900
2.33
2.25
0.9878
0.9950
2.58
2.50
0.9938
0.9999
3.72
3.00
0.9987
Transcribed Image Text:TABLE 11.5 In-Stock Probabilities and Matching Safety Factors, z In-Stock Probability Safety Factor, z Safety Factor, z In-Stock Probability 0.9000 1.28 1.25 0.8944 0.9800 2.05 2.00 0.9773 0.9900 2.33 2.25 0.9878 0.9950 2.58 2.50 0.9938 0.9999 3.72 3.00 0.9987
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